%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU139+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:17 EDT 2022
% Result : Theorem 43.12s 43.29s
% Output : Refutation 43.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU139+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:46:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.12/43.29 GeoParameters:
% 43.12/43.29
% 43.12/43.29 tptp_input = 1
% 43.12/43.29 tptp_output = 0
% 43.12/43.29 nonempty = 1
% 43.12/43.29 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.12/43.29 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 43.12/43.29
% 43.12/43.29
% 43.12/43.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.12/43.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.12/43.29
% 43.12/43.29 RuleSystem INPUT:
% 43.12/43.29
% 43.12/43.29 Initial Rules:
% 43.12/43.29 #0: input, references = 3, size of lhs = 2:
% 43.12/43.29 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #1: input, references = 4, size of lhs = 2:
% 43.12/43.29 proper_subset-{F}(V0,V1), proper_subset-{F}(V1,V0) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #2: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #3: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #4: input, references = 3, size of lhs = 1:
% 43.12/43.29 #-{F} V1 | pppp0-{T}(V1,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #5: input, references = 4, size of lhs = 2:
% 43.12/43.29 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #6: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #7: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #8: input, references = 4, size of lhs = 2:
% 43.12/43.29 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #9: input, references = 3, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #10: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), V1 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #11: input, references = 5, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #12: input, references = 4, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp22-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #13: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp22-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #14: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp10-{F}(V0,V1) | in-{T}(V1,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #15: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4) | pppp3-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #16: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V4), pppp3-{F}(V1,V2,V3), V3 == V4 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #17: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp2-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #18: input, references = 6, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3), pppp2-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #19: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp3-{T}(V1,V2,V3), pppp23-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #20: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp23-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #21: input, references = 3, size of lhs = 3:
% 43.12/43.29 pppp11-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #22: input, references = 5, size of lhs = 1:
% 43.12/43.29 pppp11-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #23: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp2-{F}(V1,V2,V3) | in-{T}(V3,V1), in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #24: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V2, in-{F}(V3,V1) | pppp2-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #25: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, in-{F}(V3,V2) | pppp2-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #26: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #27: input, references = 6, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp4-{F}(V1,V2) | subset-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #28: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp4-{F}(V1,V2), in-{F}(V3,V1) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #29: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp4-{T}(V1,V2), pppp24-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #30: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp24-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #31: input, references = 3, size of lhs = 2:
% 43.12/43.29 pppp12-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #32: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp12-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #33: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp6-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #34: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp6-{F}(V1,V2,V3), V3 == V4 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #35: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp5-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #36: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp6-{F}(V1,V2,V3), pppp5-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #37: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp6-{T}(V1,V2,V3), pppp25-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #38: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #39: input, references = 3, size of lhs = 3:
% 43.12/43.29 pppp13-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #40: input, references = 4, size of lhs = 1:
% 43.12/43.29 pppp13-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp5-{T}(V0,V1,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #41: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #42: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp5-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #43: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp5-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #44: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V4) | pppp8-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #45: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V4), pppp8-{F}(V1,V2,V3), V3 == V4 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #46: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp8-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp7-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #47: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp8-{F}(V1,V2,V3), pppp7-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #48: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp8-{T}(V1,V2,V3), pppp26-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #49: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp26-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V0,V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #50: input, references = 3, size of lhs = 3:
% 43.12/43.29 pppp14-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #51: input, references = 4, size of lhs = 1:
% 43.12/43.29 pppp14-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp7-{T}(V0,V1,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #52: input, references = 6, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp7-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #53: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp7-{F}(V1,V2,V3), in-{F}(V3,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #54: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V2, in-{F}(V3,V1) | pppp7-{T}(V1,V2,V3), in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #55: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #56: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #57: input, references = 4, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), proper_subset-{F}(V1,V2) | pppp9-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #58: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp9-{F}(V1,V2) | proper_subset-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #59: input, references = 4, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp9-{F}(V1,V2) | subset-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #60: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), pppp9-{F}(V2,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #61: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), V1 == V2 | pppp9-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #62: input, references = 3, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #63: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #64: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #65: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #66: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #67: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), proper_subset-{F}(V1,V1) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #68: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #69: input, references = 5, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #70: input, references = 4, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #71: input, references = 5, size of lhs = 1:
% 43.12/43.29 pppp15-{F}(V0) | empty-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #72: input, references = 3, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #73: input, references = 3, size of lhs = 2:
% 43.12/43.29 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #74: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #75: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #76: input, references = 5, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V2 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #77: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | subset-{T}(V3,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #78: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_set_intersection2-{F}(V3,V2,V4), subset-{F}(V1,V3) | subset-{T}(V1,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #79: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #80: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #81: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_set_intersection2-{F}(V1,V3,V4), P_set_intersection2-{F}(V2,V3,V5) | subset-{T}(V4,V5)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #82: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #83: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #84: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | EXISTS V3: pppp17-{T}(V1,V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #85: input, references = 3, size of lhs = 3:
% 43.12/43.29 pppp17-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #86: input, references = 5, size of lhs = 1:
% 43.12/43.29 pppp17-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #87: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #88: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2), P_set_difference-{F}(V1,V3,V4), P_set_difference-{F}(V2,V3,V5) | subset-{T}(V4,V5)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #89: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3) | subset-{T}(V3,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #90: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #91: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #92: input, references = 4, size of lhs = 5:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V2,V1,V3), P_set_union2-{F}(V1,V3,V4), P_set_union2-{F}(V1,V2,V5), V4 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #93: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #94: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp27-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #95: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp27-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #96: input, references = 5, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #97: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp18-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #98: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp18-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #99: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V0), V1 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #100: input, references = 3, size of lhs = 5:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V3,V2,V4), P_set_difference-{F}(V1,V2,V5), V4 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #101: input, references = 3, size of lhs = 5:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V2,V1,V3), P_set_union2-{F}(V1,V3,V4), subset-{F}(V1,V2), V2 == V4 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #102: input, references = 3, size of lhs = 5:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V3,V4), P_set_intersection2-{F}(V1,V2,V5), V4 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #103: input, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #104: input, references = 4, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | disjoint-{T}(V1,V2), pppp28-{T}(V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #105: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp28-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #106: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), in-{F}(V4,V3), disjoint-{F}(V1,V2) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #107: input, references = 3, size of lhs = 1:
% 43.12/43.29 pppp19-{F}(V0,V1) | in-{T}(V1,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #108: input, references = 4, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #109: input, references = 4, size of lhs = 1:
% 43.12/43.29 pppp21-{F}(V0) | EXISTS V1: pppp20-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #110: input, references = 5, size of lhs = 1:
% 43.12/43.29 pppp20-{F}(V0,V1) | proper_subset-{T}(V1,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #111: input, references = 4, size of lhs = 1:
% 43.12/43.29 pppp20-{F}(V0,V1) | subset-{T}(V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #112: input, references = 4, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #113: input, references = 5, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #114: input, references = 3, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3) | subset-{T}(V1,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #115: input, references = 4, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #116: input, references = 3, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), subset-{F}(V3,V1) | subset-{T}(V4,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #117: input, references = 5, size of lhs = 2:
% 43.12/43.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #118: input, references = 5, size of lhs = 2:
% 43.12/43.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #119: input, references = 4, size of lhs = 0:
% 43.12/43.29 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #120: input, references = 5, size of lhs = 2:
% 43.12/43.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 number of initial rules = 121
% 43.12/43.29
% 43.12/43.29 Simplifiers:
% 43.12/43.29 #121: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #122: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #123: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #124: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #125: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #126: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #127: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #128: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #129: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #130: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #131: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #132: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #133: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #134: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #135: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #136: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V0 == V2 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #137: unsound, references = 3, size of lhs = 3:
% 43.12/43.29 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 number of simplifiers = 17
% 43.12/43.29
% 43.12/43.29 Learnt:
% 43.12/43.29 #140: exists( #117, #65 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #141: exists( #117, #76 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_union2-{T}(V1,V2,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #144: exists( #118, #66 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #145: exists( #118, #82 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #148: exists( #120, #69 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #151: mergings( V0 == V2; #149 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp22-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #155: exists( #117, #2 ), references = 1, size of lhs = 1:
% 43.12/43.29 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #156: exists( #117, #79 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #157: exists( #117, #92 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_union2-{F}(V2,V1,V4) | P_set_union2-{T}(V2,V3,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #162: mergings( V0 == V3; #158 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp27-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #164: mergings( V0 == V3; #159 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3) | pppp27-{T}(V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #167: mergings( V0 == V3, V4 == V3; #160 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp27-{T}(V2,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #173: mergings( V3 == V5, V0 == V4; #168 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), V3 == V0 | pppp28-{T}(V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #176: mergings( V0 == V4, V3 == V4; #169 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V1,V3), P_set_intersection2-{F}(V2,V3,V0) | pppp28-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #180: mergings( V5 == V3, V0 == V4, V3 == V4; #170 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V0), P_set_intersection2-{F}(V2,V3,V0) | pppp28-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #184: exists( #118, #3 ), references = 1, size of lhs = 1:
% 43.12/43.29 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #185: exists( #118, #83 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #186: exists( #118, #55 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #194: mergings( V0 == V2; #191 ), references = 1, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | pppp15-{T}(V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #196: mergings( V0 == V2; #192 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp15-{T}(V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #199: exists( #120, #93 ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #204: mergings( V0 == V4; #202 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp25-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #215: mergings( V0 == V3, V3 == V2; #210 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), #-{F} V1, V1 == V0 | pppp24-{T}(V1,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #218: mergings( V0 == V3, V3 == V4; #211 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), V3 == V0 | pppp24-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #221: mergings( V0 == V3, V3 == V4; #212 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), V3 == V2 | pppp24-{T}(V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #224: mergings( V0 == V4; #222 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp23-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #229: mergings( V0 == V4; #227 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), #-{F} V4, V4 == V3 | pppp26-{T}(V1,V2,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #235: disj( #22, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp11-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #236: disj( #22, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #237: disj( #22, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp11-{F}(V2,V3,V1,V4) | pppp2-{T}(V2,V3,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #264: mergings( V4 == V5; #260 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp3-{F}(V2,V3,V1), pppp11-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #266: mergings( V4 == V5; #261 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V2,V3,V1), pppp11-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #268: mergings( V4 == V5; #262 ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp3-{F}(V2,V3,V1), pppp11-{F}(V2,V3,V4,V5) | in-{T}(V5,V4)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #285: disj( #40, input ), references = 1, size of lhs = 1:
% 43.12/43.29 pppp13-{F}(V0,V1,V2,V2) | pppp5-{T}(V0,V1,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #331: disj( #54, input ), references = 1, size of lhs = 2:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V2) | pppp7-{T}(V2,V1,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #332: disj( #54, input ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp2-{F}(V3,V4,V1), pppp11-{F}(V3,V4,V5,V1) | pppp7-{T}(V2,V5,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #333: disj( #54, input ), references = 1, size of lhs = 4:
% 43.12/43.29 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp7-{F}(V3,V4,V1), pppp14-{F}(V3,V4,V5,V1) | pppp7-{T}(V2,V5,V1)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #401: mergings( V4 == V5; #397 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp14-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #403: mergings( V4 == V5; #398 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #405: mergings( V4 == V5; #399 ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp14-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #438: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp17-{F}(V2,V1,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #439: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V1,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #440: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp17-{F}(V2,V1,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #474: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp17-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #475: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #476: disj( #86, input ), references = 1, size of lhs = 3:
% 43.12/43.29 P_empty_set-{F}(V0), disjoint-{F}(V1,V1), pppp17-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #528: mergings( V2 == V3; #526 ), references = 1, size of lhs = 2:
% 43.12/43.29 pppp21-{F}(V0), P_empty_set-{F}(V1) | pppp20-{T}(V0,V0)
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #537: mergings( V0 == V2, V2 == V3; #533 ), references = 1, size of lhs = 1:
% 43.12/43.29 P_empty_set-{F}(V0) | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 #540: exists( #119, #533 ), references = 1, size of lhs = 0:
% 43.12/43.29 FALSE | FALSE
% 43.12/43.29 (used 0 times, uses = {})
% 43.12/43.29
% 43.12/43.29 number of learnt formulas = 49
% 43.12/43.29
% 43.12/43.29
% 43.12/43.29 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.12/43.29
% 43.12/43.29 randbase = 1
%------------------------------------------------------------------------------